runningSampleStandardDeviationBy()

Calculate the running sample standard deviation of a BigDecimal objects mapped from a Stream<BigDecimal> via a mappingFunction.

Implementation Notes

This implementation is suitable mapping an arbitrary Stream<INPUT> to BigDecimal via a mappingFunction; for a version that operates directly on a Stream<BigDecimal>, see runningSampleStandardDeviation(). By default, nulls are ignored and play no part in calculations, see treatNullAs() and treatNullAsZero() below for ways to change this behavior. The default MathContext for all calculations is MathContext.DECIMAL64, but this can be overridden (see withMathContext(), below).

Signatures

runningSampleStandardDeviationBy(Function<INPUT, BigDecimal> mappingFunction)

mappingFunction - A non-null function to map stream INPUT elements into BigDecimal for calculation

Additional Methods

Method	Purpose
`treatNullAsZero()`	When encountering a `null` value in a stream, treat it as `BigDecimal.ZERO` instead. See example.
`treatNullAs(BigDecimal replacement)`	When encountering a `null` value in a stream, treat it as the given `replacement` value instead. See example.
`withMathContext(MathContext mathContext)`	Replace the `MathContext` used for all mathematical operations performed by this gatherer. See example.
`withOriginal()`	Include the original input value from the stream in addition to the calculated value in a `WithOriginal`record. See example.

Examples

Running Standard Deviation (Sample), mapped from an object

record NamedValue(String name, BigDecimal value) {}

Stream
    .of(
        new NamedValue("first",  new BigDecimal("1.0")),
        new NamedValue("second", new BigDecimal("2.0")),
        new NamedValue("third",  new BigDecimal("10.0")),
        new NamedValue("fourth", new BigDecimal("20.0")),
        new NamedValue("fifth",  new BigDecimal("30.0"))
    )
    .gather(Gatherers4j.runningSampleStandardDeviationBy(NamedValue::value))
    .toList();

// [ 
//   BigDecimal("0.0"), 
//   BigDecimal("0.7071067811865475"),
//   BigDecimal("4.932882862316247"), 
//   BigDecimal("8.808140174482542"),
//   BigDecimal("12.36122971228995") 
// ]

Showing nulls are ignored by default

record NamedValue(String name, BigDecimal value) {}

Stream
    .of(
        new NamedValue("first",  null),
        new NamedValue("second", null),
        new NamedValue("third",  new BigDecimal("10.0")),
        new NamedValue("fourth", new BigDecimal("20.0")),
        new NamedValue("fifth",  new BigDecimal("30.0"))
    )
    .gather(Gatherers4j.runningSampleStandardDeviationBy(NamedValue::value))
    .toList();

// [
//   BigDecimal("0"), 
//   BigDecimal("7.071067811865475"), 
//   BigDecimal("10.0") 
// ]

Treating null as zero

record NamedValue(String name, BigDecimal value) {}

Stream
    .of(
        new NamedValue("first",  null),
        new NamedValue("second", null),
        new NamedValue("third",  new BigDecimal("10.0")),
        new NamedValue("fourth", new BigDecimal("20.0")),
        new NamedValue("fifth",  new BigDecimal("30.0"))
    )
    .gather(Gatherers4j.runningSampleStandardDeviationBy(NamedValue::value).treatNullAsZero())
    .toList();

// [
//   BigDecimal("0"),
//   BigDecimal("0"),
//   BigDecimal("5.773502691896258"), 
//   BigDecimal("9.574271077563381"), 
//   BigDecimal("13.0384048104053") 
// ]

Replacing null with another `BigDecimal`

record NamedValue(String name, BigDecimal value) {}

Stream
    .of(
        new NamedValue("first",  null),
        new NamedValue("second", null),
        new NamedValue("third",  new BigDecimal("10.0")),
        new NamedValue("fourth", new BigDecimal("20.0")),
        new NamedValue("fifth",  new BigDecimal("30.0"))
    )
    .gather(Gatherers4j.runningSampleStandardDeviationBy(NamedValue::value).treatNullAs(BigDecimal.TWO))
    .toList();

// [
//   BigDecimal("0"),
//   BigDecimal("0"),
//   BigDecimal("4.618802153517006"), 
//   BigDecimal("8.544003745317531"), 
//   BigDecimal("12.13260071048248") 
// ]

Specifying a new `MathContext`

record NamedValue(String name, BigDecimal value) {}

Stream
    .of(
        new NamedValue("first",  new BigDecimal("1.0")),
        new NamedValue("second", new BigDecimal("2.0")),
        new NamedValue("third",  new BigDecimal("10.0")),
        new NamedValue("fourth", new BigDecimal("20.0")),
        new NamedValue("fifth",  new BigDecimal("30.0"))
    )
    .gather(Gatherers4j
        .runningSampleStandardDeviationBy(NamedValue::value)
        .withMathContext(new MathContext(3, RoundingMode.DOWN))
    )
    .toList();

// [ 
//   BigDecimal("0"), 
//   BigDecimal("0.707"),
//   BigDecimal("4.92"), 
//   BigDecimal("8.8"),
//   BigDecimal("12.3") 
// ]

Emitting a record containing the original and calculated values

record NamedValue(String name, BigDecimal value) {}

Stream
    .of(
        new NamedValue("first",  new BigDecimal("1.0")),
        new NamedValue("second", new BigDecimal("2.0")),
        new NamedValue("third",  new BigDecimal("10.0")),
        new NamedValue("fourth", new BigDecimal("20.0")),
        new NamedValue("fifth",  new BigDecimal("30.0"))
    )
    .gather(Gatherers4j.runningSampleStandardDeviationBy(NamedValue::value).withOriginal())
    .toList();

// [ 
//   WithOriginal[original=NamedValue[name=first, value=1.0], calculated=0]
//   WithOriginal[original=NamedValue[name=second, value=2.0], calculated=0.7071067811865475]
//   WithOriginal[original=NamedValue[name=third, value=10.0], calculated=4.932882862316247]
//   WithOriginal[original=NamedValue[name=fourth, value=20.0], calculated=8.808140174482542]
//   WithOriginal[original=NamedValue[name=fifth, value=30.0], calculated=12.36122971228995]
// ]